The diffusion equation

∂c/∂t = D ∂²c/∂x²

where D is a positive constant, describes the diffusion of heat through a solid, or the concentration of a pollutant at time t at a distance x from the source of the pollution, or the invasion of alien species into a new habitat. Verify that the function

is a solution of the diffusion equation.

Transcribed Image Text:

с (х, t) У4пDi e-x³/(4Dn)